已知x+y=6 xy=8求x+2xy+y分之2x-xy+2y的值

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已知x+y=6 xy=8求x+2xy+y分之2x-xy+2y的值
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已知x+y=6 xy=8求x+2xy+y分之2x-xy+2y的值
已知x+y=6 xy=8求x+2xy+y分之2x-xy+2y的值

已知x+y=6 xy=8求x+2xy+y分之2x-xy+2y的值
x+2xy+y分之2x-xy+2y
=[2(x+y)-xy]/[(x+y)+2xy]
=(12-8)/(6+16)
=4/22
=2/11

X+Y=6,XY=8,X+2XY+Y=6+16=22,2X-XY+2Y=12-8=4,X+2XY+Y分之2X-XY+2y=22/分之4

2x-xy+2y / x+2xy+y
=2(x+y)-xy / (x+y)+2xy
=2*6-8 / 6+2*8
=2/11